Adaptive backstepping control for FOS with nonsmooth nonlinearities

Fuente: arXiv
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Autores principales: Sheng, Dian, Wei, Yiheng, Cheng, Songsong, Wang, Yong
Formato: Preprint
Publicado: 2019
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author Sheng, Dian
Wei, Yiheng
Cheng, Songsong
Wang, Yong
author_facet Sheng, Dian
Wei, Yiheng
Cheng, Songsong
Wang, Yong
contents This paper proposes an original solution to input saturation and dead zone of fractional order system. To overcome these nonsmooth nonlinearities, the control input is decomposed into two independent parts by introducing an intermediate variable, and thus the problem of dead zone and saturation transforms into the problem of disturbance and saturation afterwards. With the procedure of fractional order adaptive backstepping controller design, the bound of disturbance is estimated, and saturation is compensated by the virtual signal of an auxiliary system as well. In spite of the existence of nonsmooth nonlinearities, the output is guaranteed to track the reference signal asymptotically on the basis of our proposed method. Some simulation studies are carried out in order to demonstrate the effectiveness of method at last.
format Preprint
id arxiv_https___arxiv_org_abs_1901_05588
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Adaptive backstepping control for FOS with nonsmooth nonlinearities
Sheng, Dian
Wei, Yiheng
Cheng, Songsong
Wang, Yong
Optimization and Control
Systems and Control
This paper proposes an original solution to input saturation and dead zone of fractional order system. To overcome these nonsmooth nonlinearities, the control input is decomposed into two independent parts by introducing an intermediate variable, and thus the problem of dead zone and saturation transforms into the problem of disturbance and saturation afterwards. With the procedure of fractional order adaptive backstepping controller design, the bound of disturbance is estimated, and saturation is compensated by the virtual signal of an auxiliary system as well. In spite of the existence of nonsmooth nonlinearities, the output is guaranteed to track the reference signal asymptotically on the basis of our proposed method. Some simulation studies are carried out in order to demonstrate the effectiveness of method at last.
title Adaptive backstepping control for FOS with nonsmooth nonlinearities
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/1901.05588